Pencils come in packages of 20 and signs come in packages of 12 she wants to buy the same number of pencils and pens what is the least number of pencil and pen she needs to buy

Answer:

x = - 1, y = 1

Step-by-step explanation:

Given the 2 equations

2y + 7x = - 5 → (1)

5y - 7x = 12 → (2)

Adding the2 equations term by term will eliminate the term in x, that is

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equationsand solve for x

Substituting into (1)

2(1) + 7x = - 5

2 + 7x = - 5 ( subtract 2 from both sides )

7x = - 7 ( divide both sides by 7 )

x = - 1

solution is x = - 1, y = 1

Answer:

d brainest plz

Step-by-step explanation:

Answer: y = 1/2x + 1

(4,2)

4=x1

2=y1

y = mx + b

2 = 1/2(4) + b

2 = 2 + b

b = 1

y = 1/2x + 1

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the smallest composite number that can be written as a product of four different prime numbers is 6

Answer:

2cm

Step-by-step explanation:

because?

Answer:

words are big and if words are big am I small

Answer:

b=20 or b=-20

Step-by-step explanation:

Keep in mind the meanings of the values of the discriminant:

If b^2-4ac=0, then the quadratic will have only 1 solution (double root)

If b^2-4ac<0, then the quadratic will have no real solutions

If b^2-4ac>0, then the quadratic will have 2 unique solutions

In this case, to get one real solution, the discriminant must be set up as b^2-4ac=0. Setting up the equation we get:

b^2-4(4)(25)=0

b^2-400=0

b^2=400

b=20 or b=-20

So the values of b would have to be either 20 or -20

The values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

Given the quadratic equation [tex]4x^2+bx+25= 0[/tex], for this expression to have a real solution, the discriminant must be greater than zero

D > 0

b^2 - 4ac > 0

Given that a = 4, b = b, c = 25

b^2 - 4(4)(25) > 0

b^2 - 400 > 0

b^2 > 400

b > ±20

Hence the values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

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Answer:

Step-by-step explanation:

[tex]2 {a}^{2} b + 6a {b}^{2} [/tex]

Factor out common term : 2ab

[tex] 2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)[/tex]

[tex]2a^2b+6ab^2[/tex]

Perhaps, you mean 6ab² (If not please remind me.)

Factoring the polynomials can be done by pulling out the terms that can be divided by that terms.

For example, [tex]2x^2+4[/tex]    We can divide the whole polynomial by 2. Thus, we factor 2 out of the polynomial as we get [tex]2(x^2+2)[/tex] -- Factoring is like dividing, but instead - we pull them out.

Now let's get back to the question.

Notice that the polynomial can be divided by 2, a and b.

So we pull 2, a and b out of the polynomial and divide them.

[tex]\frac{2a^2b+6ab^2}{2ab}\\a+3b[/tex]

When dividing, we should get a + 3b.

Then we pull out 2ab outside the bracket.

[tex]2ab(a+3b)[/tex]

Thus, the answer is 2ab(a+3b)

Answer:

d

Step-by-step explanation:

5 =5v^+^

Answer:

3

Step-by-step explanation:

I think ttttttttttttttttttttt

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

Both Patterns start at 0

Pattern 1 follows the rule, add 9.

Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....

Pattern 2 follows the rule, add 3.

Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...

It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.

They both have the same first terms.

Both Patterns have terms that are all multiples of 3.

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

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Answer:

umm i am pretty sure it is 20 to 22

Step-by-step explanation:

Answer:

14 degrees.

Step-by-step explanation:

I am assuming that the 56 degree angle is at the centre of the circle.

The angle at the top in the circle = 1/2 * 56 = 28 degrees.

The reflex angle = 360 - 56 = 304 degrees.

If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28  degree angle. Also the 2  triangles formed are congruent ( by SSS).

So x = 180 - 1/2 * 28 - 1/2 * 304

= 180 - 14 - 152

= 180 - 166

= 14 degrees.

Answer:

20

Step-by-step explanation:

Answer:

y = -3x + 30

Step-by-step explanation:

First, find the slope using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (9 - (-3)) / (7 - 11)

m = -12/4

m = -3

Next, find the y-intercept by substituding one of the two points into what the equation is so far:

y = -3x + b

(7, 9)

9 = -3(7) + b

9 = -21 + b

30 = b

Now you have the full equation:

y = -3x + 30

Answer:

5/3

Step-by-step explanation:

Between the two points, the line goes up 5 points and to the right 3 points. The slope is rise over run, so in this case the rise is 5 and the run is 3.

This makes our slope:

5/3

Answer:

-9 is the final answer

Step-by-step explanation:

2x-4x=-2x

so the equation would be -2x-15=3

add 15 to both sides -2x=18

divide both sides by -2

Answer:

We get the value of x: x = 3

Step-by-step explanation:

Point G lies between points F and H on Line segment F H.

Space between F and G = 4x

Space between G and H = 2x

Length of FH = 18

We need to find value of x.

As point G lies between point F and H, sum of FG and GH will give FH, we can write

[tex]FG + GH = FH[/tex]

Putting values to make equation

[tex]4x + 2x = 18[/tex]

Now, solving the equation we can find value of x

[tex]4x + 2x = 18 \\6x=18\\x=\frac{18}{6}\\x=3[/tex]

So, we get the value of x: x = 3

Answer:

dlfkv

Step-by-step explanation:

Answer:

[tex]y - (-2) = (-5/3)\, (x - 6)[/tex].

.Step-by-step explanation:

The [tex]x[/tex]-coordinates of the two given points are different. Therefore, the line that goes through these points would not be vertical. Likewise, this line would not be horizontal since the [tex]y[/tex]-coordinates of the given points are different.

If a line in a plane is of slope [tex]m[/tex] and goes through point [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line would be [tex]y - y_{0} = m\, (x - x_{0})[/tex].

If a line in a plane goes through the points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] (where [tex]x_{0} \ne x_{1}[/tex],) the slope of this line would be [tex]m = (y_{1} - y_{0}) / (x_{1} - x_{0})[/tex].

Since the line in this question goes through points [tex](6,\, -2)[/tex] and [tex](0,\, 8)[/tex], the slope of this line would be:

[tex]\begin{aligned} m &= \frac{8 - (-2)}{0 - 6} \\ &= \frac{10}{(-6)} \\ &= -\frac{5}{3}\end{aligned}[/tex].

Let [tex](6,\, -2)[/tex] be the point [tex](x_{0},\, y_{0})[/tex]. The point-slope equation of this line would be:

[tex]y - (-2) = (-5 / 3)\, (x - 6)[/tex].

The following cases for the solutions of a system of linear equations are listed below:

In this problem we find the case of a system of linear equations with two variables, of which we must determine the nature of its dependent constants for the following three cases:

The implicit form of this system is shown below:

a · x - y = - b                (1)

c · x - y = - d                (2)

According to the linear algebra, a system of linear equations has no solutions if the determinant of the matrix of dependent coefficients is equal to zero. Then, by Cramer's law we find that:

a - c = 0

a = c

Therefore, the system of linear equations has no solutions for a = c.

Also by linear algebra, we know that the two linear equations have infinite solutions if and only if both equations are multiples of each other, then:

a · x - y + b = k · (c · x - y + d)

a · x - y + b = (k · c) · x - k · y + (k · d)

The system has infinite solutions when a = k · c and b = k · d.

Then, the system has only one solution if and only if a ≠ k · c and b ≠ k · d.

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The rotation of the point is (-5, 6)

The point is given as:

Point = (6,5)

The rule of 90 degrees counterclockwise rotation around the origin is

(x, y) = (-y, x)

So, we have

Image = (-5, 6)

Hence, the rotation of the point is (-5, 6)

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Answer:

C. 7/8 days

Step-by-step explanation:

Answer:

-The graph of this sequence would pass the horizontal line test.

-Each day corresponds to a unique amount of pennies in this sequence.

Step-by-step explanation:

Answer:

B)The graph of this sequence would pass the horizontal line test.

D)Each day corresponds to a unique amount of pennies in this sequence.

Step-by-step explanation:

I took the test

Answer:

-44

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

move the 3x to the other side and divide it by 2

Answer:

c

Step-by-step explanation: